Largest among all in a single precision
- 0 01111111 23 0’8
- 0 01111111 23 1’8
- 0 11111110 23 1’8
- 0 11111111 23 1’8
The Correct Option is C
Solution and Explanation
Top Questions on Number Representations
The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:
\[ \begin{array}{|c|c|c|} \hline \text{sign} & \text{exponent} & \text{mantissa} \\ \hline \end{array}\] Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?- GATE CS - 2021
- Digital Logic
- Number Representations
If \( x \) and \( y \) are two decimal digits and \( (0.1101)_2 = (0.8xy5)_{10} \), the decimal value of \( x + y \) is \(\underline{\hspace{2cm}}\).
- GATE CS - 2021
- Digital Logic
- Number Representations
- Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
- GATE CS - 2021
- Digital Logic
- Number Representations
- Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.
\[ S : 1 E : 10000001 F : 11110000000000000000000 \] Here \( S \), \( E \), and \( F \) denote the sign, exponent, and fraction components of the floating-point representation.
The decimal value corresponding to the above representation (rounded to 2 decimal places) is \(\underline{\hspace{2cm}}\).- GATE CS - 2021
- Digital Logic
- Number Representations
Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is $d_8 d_7 d_6 d_5 c_8 d_4 d_3 d_2 c_4 d_1 c_2 c_1$, where the data bits and the check bits are given in the following tables. Which one of the following choices gives the correct values of $x$ and $y$?
- GATE CS - 2021
- Digital Logic
- Number Representations
Questions Asked in GATE CS exam
In a 4-bit ripple counter, if the period of the waveform at the last flip-flop is 64 microseconds, then the frequency of the ripple counter in kHz is ______________. {(Answer in integer)}
- GATE CS - 2025
- Flip-Flop
Consider the following C code segment:
int x = 126, y = 105; do { if (x > y) x = x - y; else y = y - x; } while (x != y); printf("%d", x);The output of the given C code segment is ____________. (Answer in integer)
- GATE CS - 2025
- Programming in C
The following two signed 2’s complement numbers (multiplicand \( M \) and multiplier \( Q \)) are being multiplied using Booth’s algorithm:
Multiplicand (\( M \)) Multiplier (\( Q \)) 1100 1101 1110 1101 1010 0100 1010 1010 The total number of addition and subtraction operations to be performed is __________. (Answer in integer)
- GATE CS - 2025
- Complementation
The maximum value of \(x\) such that the edge between the nodes B and C is included in every minimum spanning tree of the given graph is __________ (answer in integer).
- GATE CS - 2025
- Programming and Data Structures
Consider the following C program
The value printed by the given C program is __________ (Answer in integer).- GATE CS - 2025
- Programming in C